基于参数相关性的附有限制条件平差模型算法  

An algorithm for adjustment model with constraints on parameters

作　　者：闵星 Min Xing(Guangzhou Metro Design&Research Institute Co.,Ltd,,Guangzhou 510010,China)

机构地区：[1]广州地铁设计研究院股份有限公司,广州510010

出　　处：《工程勘察》2022年第12期61-65,共5页Geotechnical Investigation & Surveying

基　　金：广州市院士专家工作站项目(2021创新中心030号)。

摘　　要：针对经典平差模型中的附有限制条件的间接平差提出一种新的解算方法,其基本思想为利用非独立未知参数之间的相关性,通过消去限制条件将附有限制条件的间接平差模型转化为仅包含独立参数的间接平差模型再进行解算。同时探讨了间接平差模型选取独立参数时应注意的事项,并比较附有限制条件的间接平差与秩亏自由网平差的区别与联系。利用实际的工程控制网平差案例验证新算法与现有方法的等价性。A new solution is proposed for indirect adjustment with constraints in classical adjustment model.The basic idea is to use the correlation between non-independent unknown parameter to convert the indirect adjustment with constraints to indirect adjustment that only contains independent parameters by eliminating the constraints.At the same time,considerations related to selecting independent parameters of indirect adjustment model are discussed,and the differences between indirect adjustment with constraints and the rank-deficient free network adjustment are compared.The equivalence between the new algorithm and the existing method is verified by using an actual engineering control network adjustment example.

关 键 词：经典平差 函数模型 参数相关性 秩亏自由网平差 

分 类 号：P207*.2[天文地球—测绘科学与技术]